1. An experimental investigation and a simple model of valveless pump
- Author
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Nicolas Vandenberghe, Jun Zhang, Stephen Childress, Thomas T. Bringley, Applied Math Laboratory Courant Institute of Mathematical Sciences (AML - COURANT INSTITUTE), New York University [New York] (NYU), NYU System (NYU)-NYU System (NYU), Institut de Recherche sur les Phénomènes Hors Equilibre (IRPHE), Centre National de la Recherche Scientifique (CNRS)-Aix Marseille Université (AMU)-École Centrale de Marseille (ECM), Department of Physics [New York], and Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
- Subjects
Fluid Flow and Transfer Processes ,Physics ,Series (mathematics) ,Mechanical Engineering ,010102 general mathematics ,0206 medical engineering ,Computational Mechanics ,Thermodynamics ,02 engineering and technology ,Mechanics ,Condensed Matter Physics ,020601 biomedical engineering ,01 natural sciences ,Volumetric flow rate ,Flow (mathematics) ,Mechanics of Materials ,Simple (abstract algebra) ,Ordinary differential equation ,Tube (fluid conveyance) ,[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] ,0101 mathematics ,Hydraulic pump ,Closed loop - Abstract
International audience; We construct a valveless pump consisting of a section of elastic tube and a section of rigid tube connected in a closed loop and filled with water. By periodically squeezing the elastic tube at an asymmetric location, a persistent flow around the tubes is created. This effect, called the Liebau phenomenon or valveless pumping, has been known for some time but is still not completely understood. We study the flow rates for various squeezing locations, frequencies, and elastic tube rigidities. To understand valveless pumping, we formulate a simple model that can be described by ordinary differential equations. The time series of flow velocities generated by the model are qualitatively and quantitatively similar to those seen in the experiment. The model provides a physical explanation of valveless pumping, and it allows us to identify the essential pumping mechanisms.
- Published
- 2008
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